Chapter 9, Problem 44RCQ

Newton’s universal law of gravity tells us that

$F\text{=}G\frac{m_{{}_1}{m}_{{}_2}}{d^2}$

Newton’s second law tells us that $a=\frac{F_{{}_{net}}}{m}$

1. With a bit of algebraic reasoning, show that your gravitational acceleration toward any planet of mass M

a distance d from its center is $a=\frac{GM}{d^2}$

How does this equation tell you whether or not your gravitational acceleration depends on your mass?